Board Paper of Class 10 2014 Maths (SET 3)  Solutions
General Instructions:
(i) All questions are compulsory.
(ii) The question paper consists of 34 questions divided into four sections A, B, C and D.
(iii) Sections A contains 8 questions of one mark each, which are multiple choice type questions, section B contains 6 questions of two marks each, section C contains 10 questions of three marks each, and section D contains 10 questions of four marks each.
(iv) Use of calculators is not permitted.
(i) All questions are compulsory.
(ii) The question paper consists of 34 questions divided into four sections A, B, C and D.
(iii) Sections A contains 8 questions of one mark each, which are multiple choice type questions, section B contains 6 questions of two marks each, section C contains 10 questions of three marks each, and section D contains 10 questions of four marks each.
(iv) Use of calculators is not permitted.
 Question 1
Two different coins are tossed simultaneously. The probability of getting at least one head is
(A) $\frac{1}{4}$
(B) $\frac{1}{8}$
(C) $\frac{3}{4}$
(D) $\frac{7}{8}$ VIEW SOLUTION
 Question 2
A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is
(A) $\frac{1}{5}$
(B) $\frac{3}{25}$
(C) $\frac{4}{25}$
(D) $\frac{2}{25}$ VIEW SOLUTION
 Question 3
If the height of a vertical pole is $\sqrt{3}$ times the length of its shadow on the ground, then the angle of elevation of the Sun at that time is
(A) 30°
(B) 60°
(C) 45°
(D) 75° VIEW SOLUTION
 Question 4
The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
(A) $7+\sqrt{5}$
(B) 5
(C) 10
(D) 12 VIEW SOLUTION
 Question 5
A rectangular sheet of paper 40 cm × 22 cm, is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder (in cm) is
(A) 3·5
(B) 7
(C) $\frac{80}{7}$
(D) 5 VIEW SOLUTION
 Question 6
In Figure 1, a quadrilateral ABCD is drawn to circumscribe a circle such that its sides AB, BC, CD and AD touch the circle at P, Q, R and S respectively. If AB = x cm, BC = 7 cm, CR = 3 cm and AS = 5 cm, find x.
(A) 10
(B) 9
(C) 8
(D) 7 VIEW SOLUTION
 Question 7
The next term of the A.P. $\sqrt{7},\sqrt{28},\sqrt{63},$ ... is
(A) $\sqrt{70}$
(B) $\sqrt{84}$
(C) $\sqrt{97}$
(D) $\sqrt{112}$ VIEW SOLUTION
 Question 8
Two concentric circles are of radii 5 cm and 3 cm. Length of the chord of the larger circle, (in cm), which touches the smaller circle is
(A) 4
(B) 5
(C) 8
(D) 10 VIEW SOLUTION
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